The solution of this equation is -7.
3x - 7 = 4x
3x - 7 - 4x = 0
3x - 4x - 7 = 0
-x - 7 = 0
-x = 7
x = -7
Answer:
6.3
Step-by-step explanation:
8.5 - (-4.8)
Let's focus on - (-4.8)
if a negative number is subtracted, it reverses itself
In other words, if a negative number is being subtracted, it is the same as being added as a positive number
So we change the equation to
8.5 + 4.8 = 13.3
Now we subtract 7 from 13.3
Since positive 7 is being subtracted, the rule for -4.8 does not apply to it
13.3 - 7 = 6.3
<h2>Question 9:</h2>
1. Use Pythagorean Theorem (a²+b²=c²) to solve for missing side of triangle and rectangle. x²+16²=20², or x²+256=400. So, x²=144, and x=12
2. Use formula: 1/2(h)(b1+b2). 1/2 (12) (30+14).
3. Simplify: 1/2 (12) (44)=1/2(528)=264
Area of whole figure is 264 square mm.
<h2>Question 10:</h2>
Literally same thing but with trigonometry.
1. Use sine to find out length of dotted line: sin(60°)=x/12
2: Simplify: 12*sin(60°)=x. x≈10.4 (rounded to the nearest tenth)
3. Use Pythagorean Theorem to find out last leg of triangle: 10.4²+x²=12²
4: Simplify: 108.16 +x²=144. x²=35.84 ≈ 6
5: Use formula: 1/2(h)(b1+b2). 1/2 (10.4) (30+36)
6: Simplify: 1/2 (10.4) (66) =343.2
7: Area of figure is about 343.2
Remember, this is an approximate answer with rounding, so it might not be what your teacher wants. The best thing to do is do it yourself again.
Answer:
-2
Step-by-step explanation:
Equation of slope intercept form
y = (slope × x) + y intercept
